Key Concepts in Chemical Equilibria Generic Equilibrium: k1 aA + bB cC + dD k-1 At equilibrium rate forward = rate reverse k1(AA)a(AB)b = k-1(AC)c(AD)d AA = “activity” of compound (or element) A, AA = A[A] (for solutions). For unit activity coefficient: k1[A]a[B]b = k-1[C]c[D]d Rearranging: Keq = k1 = [C]c[D]d = [products]x k-1 [A]a[B]b [reactants]y 1 Key Concepts in Chemical Equilibria IMPORTANT! 1. In order for a system (reaction) to be at equilibrium, the Keq expression MUST be satisfied!!! 2. If the Keq exp. is satisfied, the system is in equilibrium! Golden Rules of Equilibria: 1. Keq is dimensionless and constant at a given temperature. 2. When writing equilibrium constant expressions, omit solids, pure liquids, and solvents. 3. Always use smallest integer coefficients when balancing equations and writing Keq. 4. When a balanced reaction is reversed, Kreverse = 1/Kforward 5. When adding reactions, Keq for the net reaction is the product of the Keq's for the individual reactions. 6. At equilibrium, the concentrations of reactants and products MUST satisfy the equilibrium constant expression!! 2 1 Key Concepts in Chemical Equilibria Using Keq to predict "direction" of reaction: • When given a set of conditions (concentrations) ask: 1. Is the system already in equilibrium? 2. If yes, you're done! If no, what does the system need to do to reach equilibrium? Le Chatelier's Principle: • Start with system in equilibrium, what happens if we perturb equilibrium? Autoprotolysis of water: H2O(l) + H2O(l) H3O+(aq) + OH-(aq) Kw=[H3O+][OH-] = 1.00x10-14 3 Key Concepts in Acid-Base Equilibria Acid/Base Strength: • "Strength" = measure of efficiency of production of H+ (or OH-), extent of dissociation. • Know strong acids/bases assume everything else is weak! (H2SO4, HCl, HNO3, HClO4, NaOH, KOH, LiOH) Solution acidity and pH: • Because water is amphiprotic, "pure" water will contain a small amount of OH- and H+ • pH is a measure of “[H+]”: pH = -log[H+] • Ka for an acid and Kb for its conjugate base are related! • pH and pOH are related! • ICE table approach to determining pH of weak acid/base solutions 4 2